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Polar quantum channel coding with optical multi-qubit entangling gates for capacity-achieving channels

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Abstract

We demonstrate a fashion of quantum channel combining and splitting, called polar quantum channel coding, to generate a quantum bit (qubit) sequence that achieves the symmetric capacity for any given binary input discrete quantum channels. The present capacity is achievable subject to input of arbitrary qubits with equal probability. The polarizing quantum channels can be well-conditioned for quantum error-correction coding, which transmits partially quantum data through some channels at rate one with the symmetric capacity near one but at rate zero through others.

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Authors and Affiliations

  1. School of Information Science & Engineering, Central South University, Changsha, 410083, China

    Ying Guo

  2. State Key Laboratory of Advanced Optical Communication Systems and Networks, Department of Electronic Engineering, Shanghai Jiaotong University, Shanghai, 200030, China

    Ying Guo & Guihua Zeng

  3. Institute of Information and Communication, Chonbuk National University, Jeonju, 561-756, Korea

    Moon Ho Lee

Authors
  1. Ying Guo
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  2. Moon Ho Lee
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  3. Guihua Zeng
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Corresponding author

Correspondence to Ying Guo.

Additional information

This work was supported by the National Natural Science Foundation of China (60902044, 61172184), the New Century Excellent Talents in University, China (NCET-11-0510), and partly by the World Class University R32-2010-000-20014-0 NRF, and Fundamental Research 2010-0020942 NRF, Korea.

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Guo, Y., Lee, M.H. & Zeng, G. Polar quantum channel coding with optical multi-qubit entangling gates for capacity-achieving channels. Quantum Inf Process 12, 1659–1676 (2013). https://doi.org/10.1007/s11128-012-0478-4

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  • DOI: https://doi.org/10.1007/s11128-012-0478-4

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